GEOMETRY: Find JL of the line.

The measure of each marked angle is 60 degrees for the given figure, which are alternate exterior angles.

The angles are given as:

∠1 = 10x-20 and ∠2 = 7x+4

As we know that alternate exterior angles are described as the pair of angles formed on the outer side of the parallel lines and on opposite sides of the transversal when two parallel lines are crossed by a transversal.

By alternate exterior angles, it can be written as:

∠1 = ∠2

10x-20 = 7x+4

10x -7x = 4 + 20

3x = 24

x = 24/3

x = 3

From given angles:

80 - 20 = 60

56 + 4 = 60

Thus, the measure of each marked angle is 60 degrees.

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Answer:

The number 200 has two distinct prime factors. The prime factorization of 200 is as follows: 200 = 2 × 2 × 2 × 5 × 5.

Step-by-step explanation:

The index form of 200 as a product of prime factors is 2³ × 5².

The given number is 200.

The index form of a number is that number written as an exponential expression, or a single number raised to another number.

Prime factorization is a process of writing all numbers as a product of primes.

The prime factors of 200=2×2×2×5×5

=2³ × 5²

Therefore, the index form of 200 as a product of prime factors is 2³ × 5².

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Answer:

x = 4

y = 3

Step-by-step explanation:

Remark

If a triangle is equilateral all three sides are equal. So each side has equal statements.

Solution

3x + 2 = 5x - 2y            Subtract 3x from both sides

2 = 5x -3x - 2y              Combine

2 = 2x - 2y                     divide by 2

x - y = 1                          Equation 1

3x + 2 = 6y - 4            Equilateral triangles have equal sides. Subtract 6y

3x - 6y + 2=  - 4          Subtract 2

3x - 6y = -4 - 2

3x - 6y = - 6                Divide by 3

x - 2y = - 2                  Equation 2.

Now subtract equation 1 from equation 2

x - 2y = - 2

x -  y    =  1                    Subtract

  - y    = - 3                   Multiply by -2

    y = 3

Put y = 3 into equation 1

x - y = 1

x - 3 = 1                         Add 3 to both sides.

x = 4

Answer

x = 4

y = 3

Answer:

1.8b

Step-by-step explanation:

Hi there!

1.Subtract both terms:

[tex]6.5b-4.7b=1.8b[/tex]

2.Fraction form:

[tex]1.8b=1\frac{8}{10}b[/tex]

3.Simplifly the fraction term:

[tex]1\frac{8}{10}b*2=1\frac{4}{5}b[/tex]

Therefore, 6.5b-4.7b=1.8=1 8/10=1 4/5..

Answer:

$4,675

Step-by-step explanation:

The commission is 5.5% of $85,000.

5.5% * $85,000 =

= 0.055 * $85,000

= $4,675

Answer:

$4675

Step-by-step explanation:

85,000 x .055 = 4,675

Hope that helps!

Answer:

5,720,000 Sq Feet.

Step-by-step explanation:

They are asking the Area of a Trapezoid

Equation =( base + base / 2) x height

Lets first set it up. We know that A-B is 200 feet. & D-C is 260. They are both the bases.

So if you multiply them (200 x 260) You will get 52000.

Now we divide that by 2. (52000 / 2 = 26000)

Now it says the straight line is 220. I think this refers to the height.

Now we multiply 26000 x 220. Which is 5720000.

Its a pretty big number, but that is the answer! :)

Hope this helps!

Answer:

y = -3/2x + 6

Step-by-step explanation:

We won't be able to figure out Y in number form, since we have a second variable, but we can figure it out in terms of X.

First, we have to subtract 6x from both sides

( -4y = -6x + 24 )

Then we have to divide both sides by -4

( y = -3/2x + 6 )

This is our final answer in terms of x

Answer:

The answer is D

Step-by-step explanation:

If you add them all, and divide them it wouldn’t get 14.5

Answer:

No, the mean should be higher.

Step-by-step explanation:

Have a good day :)

Answer:

B=1.75

Step-by-step explanation:

Answer:

216g³

Step-by-step explanation:

[tex](xy)^n=x^ny^n\\(6g)^3=6^3g^3[/tex]

[tex]6^3=216[/tex]

Answer:

8 1/2

I assumed you meant a mixed number.

Answer:

8 1/2

Step-by-step explanation:

yw :) I hope this helps

Answer:

3!!!

Step-by-step explanation:

|2(-6)+5| - 8((1)/(2))

hope this helped ahahaa <3

Answer:

x = 3.2

Step-by-step explanation:

Since, intercepts made by parallel lines on the transversals are in proportion.

[tex] \therefore \frac{AB}{BC} =\frac{EF}{FG}... (1)[/tex]

AB = BC.... (given)

[tex] \implies \frac{AB}{BC} = 1..... (2)[/tex]

From equations (1) & (2)

[tex] 1 =\frac{EF}{FG}[/tex]

[tex] {FG}={EF}[/tex]

Therefore,

7x - 9 = 2x + 7

7x - 2x = 9 + 7

5x = 16

x = 16/5

x = 3.2

Answer:

Answer is v=182

Step-by-step explanation:

v=volume of the glass

v/2+65=6v/7

Multiply by 14

7V+910=12V

910=5V

V=182

I hope it's helpful!

Answer:

Answer:

Choice A

Step-by-step explanation:

It said it was right in Khan lol :)

Answer:

A

Step-by-step explanation:

Answer:243

Step-by-step explanation:

Answer:

A. 3/2

Step-by-step explanation:

To find the lenght of the side opposing the 30° angle, you need to use trigonometry, since it's a right-angled triangle. You have your 30° angle and you have the side beside : therefore, you can use the sine :

sin(30) x 3 = ?

0,5 x 3 = ?

1,5 = ?

1,5 = 3/2

Answer:

4/24

Step-by-step explanation:

Answer/Step-by-step explanation:

Problem 1:

✔️Type of angle = right angle

✔️Equation: (x + 4) + (3x + 2) = 90°

✔️value of x:

x + 4 + 3x + 2 = 90

Add like terms

4x + 6 = 90

4x = 90 - 6

4x = 84

x = 84/4

x = 21

✔️Angle 1 (x + 4):

Plug in the value of x

Angle 1 = 21 + 4 = 25°

✔️Angle 2 (3x + 2):

Angle 2 = 3(21) + 2 = 63 + 2 = 65°

Problem 2:

✔️Type of angle = right angle

✔️Equation: x + 2x = 90°

✔️value of x:

x + 2x = 90

Add like terms

3x = 90

x = 90/3

x = 30

✔️Angle 1 (x):

Angle 1 = x = 30°

✔️Angle 2 (2x):

Angle 2 = 2(30) = 60°

Problem 3:

✔️Type of angle = right angle

✔️Equation: (3x + 6) + 4x = 90°

✔️value of x:

3x + 6 + 4x = 90

Add like terms

7x + 6 = 90

7x = 90 - 6

7x = 84

x = 84/7

x = 12

✔️Angle 1 (3x + 6):

Plug in the value of x

Angle 1 = 3(12) + 6 = 42°

✔️Angle 2 (4x):

Angle 2 = 4(12) = 48°

Answer: B

Step-by-step explanation:

Let us write down the coordinates of the snow tubing and the ski lift.

Ski Lift = (3 , -4)

Snow Tubing = (3, 3)

We want to find the distance, which can be found by subtracting their y coordinates from each other.

-4 - 3 = 7

or

3 - (-4 ) = 7

If you can, you can always count the squares away each point is from each other. The answer is B - 7 miles.

Answer:

B

Step-by-step explanation:

Let us write down the coordinates of the snow tubing and the ski lift.

Ski Lift = (3 , -4)

Snow Tubing = (3, 3)

We want to find the distance, which can be found by subtracting their y coordinates from each other.

-4 - 3 = 7

or

3 - (-4 ) = 7

If you can, you can always count the squares away each point is from each other. The answer is B - 7 miles.Let us write down the coordinates of the snow tubing and the ski lift.

i took the test

Answer:

Step-by-step explanation:

The sum of the remaining angles is 180-128 = 52°.

The remaining angles must be 26° each.

Answer:

A. Weeks

B. Fingernail growth

C. 1, 2, 3, 4 (weeks)

D. 0.7, 1.4, 2.1, 2.8 (mm)

Step-by-step explanation:

ez

Answer:

1

6p+2

3 p + 1

2

6p+2

3p + 1

3

Step-by-step explanation:

mark brainliest please

Answer:

5 inches babesss

Step-by-step explanation:

Answer:

She was taller than Sabrina for 6 years.

Step-by-step explanation:

Answer:

1400

Step-by-step explanation:

There is a flat fee involved, which is the y-intercept of the line.

The line eats the points:

(3, 435)

 and

(5, 625)  

the slope is 190/2 = 95

 B = y - mx = 435 - (95)(3)

                 = 435 - 285

                 =  150

The linear function is:

y = 95x + 150

So for x=2, it will cost

95(2) + 150 = 190 + 150 = 340

435 + 625 + 340 =  1400

The total cost to rent the boat for three days is $1400.

Given that, on Saturday, he rented a pontoon boat for three hours and paid $435.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The cost for the rented a pontoon boat for five hours is 435+190 = 625

The coordinate points are (3, 435) and(5, 625)  

The slope is m = (625-435)/(5-3)

= 190/2 = 95

Now, b = y - mx = 435 - (95)(3)

= 435 - 285 =  150

So, the linear function is y = 95x + 150

So for x=2, it will cost

95(2) + 150 = 190 + 150 = 340

Total cost = 435 + 625 + 340 = 1400

Therefore, the total cost to rent the boat for three days is $1400.

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Answer:

C, D

Step-by-step explanation:

not really much to explain except 169 and 4 are perfect squares

[tex]\frac{324-7.9}{\sqrt{46-5.832}}[/tex]

= 49.87517031